Your total monthly bill (T) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k) you use, you are charged $0.25 and for each therm (t) of gas used you are charged $0.97

Your Total Monthly Bill (T) From The Electric And Gas Company Depends On How Much Electricity And How

Answers

Answer 1

The correct answer is A. T = 0.25k + 0.97t

Explanation:

For an equation to be correct it needs to include all important values and use the appropriate mathematical symbols to show how the values relate. In the case presented, it is known the total bill (T) is the result of both the electricity (k) and gas (t) consumed. According to this, the two values need to be added to find the total (T). This means T = k + t.

Besides this, it is specified a kilowatt or unit of electricity costs $0.25, this means the correct expression for finding the total paid for electricity is 0.25k as the number of kilowatts consumed need to be multiplied by the cost of a kilowatt. Similarly, the cost of the gas requires multiplying the number of therms by the cost of one therm, which is $097. According to this, the correct equation is T = 0.25k + 0.97t


Related Questions

A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what percentage of those who ate at the restaurant ordered enchiladas that day

Answers

Answer:

i. 70%

ii. 70%

Step-by-step explanation:

Since in the question,  it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas

i. Now if half ordered tacos that means out of these 30 orders enchiladas.

since 30 ordered tacos that means 70% ordered enchiladas

ii. Now for 3 by 4 we have to assume the number of people who ordered only  enchiladas be x

So,

For both,  it would be 0.75 x

And, the number of people who did not order is 40 as 60 tacos are ordered by people

So, the percentage is

= 40 × 0.75 + 40

= 30 + 40

= 70%

mrs.gonzalez wants to buy 10 cans at the sale price which expression represents the number of cans by which she will exceed the limit

Answers

Can u add an image because u can’t answer this question without the rest of the information:)

Given: r || s, and t is a transversal that cuts both r and s. Prove: <1 = <5, <2 = <6, <3 = <7, and <4 = <8 Write a paragraph proof to prove that the corresponding angles shown are congruent.

Answers

Answer:

Lines r and s are parallel as Corresponding Angles given. There are four pairs of corresponding angles: angle 1 and angle 5, angle 2 and angle 6, angle 3 and angle 7, and angle 4 and angle 8. Since r and s are parallel, the slope of r is equal to the slope of s. Since t is a straight line, the slope of t is the same at both intersections, by the definition of a straight line. Thus, the corresponding angles created at both intersections must have the same measure, since the difference of the slopes at each intersection is the same, and the intersections share a common line. So, corresponding angles must have equal measure. Therefore, by definition of congruent angles, corresponding angles are congruent: angle 1 is congruent to angle 5, angle 2 is congruent to angle 6, angle 3 is congruent to angle 7, and angle 4 is congruent to angle 8.

Step-by-step explanation

answer from haven

A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answers

Answer:  [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Step-by-step explanation:

When you subtract b/2a from both sides, you end up with the Quadratic Formula.

Answer:

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]

Subtract [tex]\frac{b}{2a}[/tex] from both sides.

[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]

[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]

[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]

This is a quadratic formula.

help plzz ... Trigonometry​

Answers

Answer:

XYZ = 21.8

Step-by-step explanation:

the missing angle is XYZ

cos XYZ = [tex]\frac{adjacent}{hypotenus}[/tex] tan XYZ = [tex]\frac{6}{15}[/tex] tan XYz = 0.4

using a calculator:

tan^(-1)(0.4)= 21.8

so XYZ = 21.8

Reorder the following equations in ascending order of steepness: y= 15x + 5 y= 0.15x - 1 y=x y= x + 100

Answers

Answer:

y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Step-by-step explanation:

When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.

According to that rule, the steepest will be y = 15x + 5.

The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).

The least steepest will bey = 0.15x - 1.

So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Hope this helps!

Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F’G’H’I’

Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’?

(x,y)—> (x-8,y-7)

(x,y) —> (x-7,x-8)

(x,y) —> ( x-4,x-5)

(x,y) —> ( x-5,y-4)

Answers

Answer:

The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".

Step-by-step explanation:

In the given question some data is missing. so, the correct answer to this can be explained in the following example:

In the given example, point D  is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:

⇒2-8 = -6

⇒ 5-7 = -2

It can try certain things too and see why this alone is the correct translation.  

Need help on these appreciate it

Answers

Answer:

Circle B:

[tex](x+4)^2+(y+3)^2=4[/tex]

Circle F:

[tex](x-4)^2+(y-1)^2=16[/tex]

Step-by-step explanation:

We can write the equation of a circle equation with center on (h,k) and radius r as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Then, we analyze the circle will have for the circle B:

- It has a center in x=-4 and y=-3.

- It radius can be calculated from the distance from the center (x,y)=(-4,-3) to one of its points (x,y)=(-4, -1). Then, its radius is r=2.

Then, we can write the equation as:

[tex](x-h)^2+(y-k)^2=r^2\\\\h=-4\\k=-3\\r=2\\\\(x+4)^2+(y+3)^2=4[/tex]

we analyze the circle will have for the circle F:

- It has a center in x=4 and y=1.

- It radius can be calculated from the distance from the center (x,y)=(4, 1) to one of its points (x,y)=(0, 1). Then, its radius is r=4.

Then, we can write the equation as:

[tex](x-h)^2+(y-k)^2=r^2\\\\h=4\\k=1\\r=4\\\\(x-4)^2+(y-1)^2=16[/tex]

what is the 46th term of the arithmetic sequence with this explicit formula

Answers

Answer:

A. -146

Step-by-step explanation

46th term = -11 + ( 46 -1) (-3)

= -11 + (45)(-3)

=-11 -135

= - 146

x−12=−4y 2x+8y=−14 Which of the following represents a solution (x,y) to the system of equations above?

Answers

It should be no solution!!

p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)

Answers

Answer:

Step-by-step explanation:

Hello

p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75

hope this helps

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?

a
13.33 teaspoons
b
12 teaspoons
c
40 teaspoons
d
108 teaspoons

Answers

Answer:

C: 40 teaspoons.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

This is a straight proportion question. Many things can be solved with a proportion. This is a good example of what is possible.

Formula

3 teaspoons       x

======              =========

36 cookies        480 cookies

Notice that in the end, the units of teaspoons will be left. Multiply both sides by 480

3 teaspoons * 480 cookies

=======================            =  X

36 cookies

Notice the cookies cancel

3 teaspoons * 480

===============     =  x

36

x = 1440/36 teaspoons.

x = 40 teaspoons

answer: C

*Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. 8 12 12

Answers

Answer:

336m^2

Step-by-step explanation:

The triangle area is half of base times height so: 1/2*8*12=48m^2

There are 4 triangles so 48*4=192

Then the square base area is side times side so: 12*12=144m^2

Then surface area of model is 192m^2+144m^2=336m^2

Answer:

336 m²

Step-by-step explanation:

We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.

Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].

[tex]\frac{12 \cdot 8}{2}[/tex]

[tex]\frac{96}{2}[/tex]

48.

So, one side of this is 48. Multiplying it by 4 gets us 192.

Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.

Now let's add these numbers:

192+144 = 336

So, 336 m² is what this comes out to.

Hope this helped!

WILL MARK BRAINLIEST!! PLZ HELP!!

Answers

Answer:

The answer is D.

Step-by-step explanation:

When x=0, then y=300, so it has to be more than that.

When x=25, y=300, so it has to be less than that.

Answer this question will give brainliest.

Answers

Answer:

             A.

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0

If a polynomial function f(x) has roots -9 and 7 -i, which must be a factor of f(x)

Answers

Answer:

(x + 9) (x - 7)

Step-by-step explanation:

when we put x + 9 = 0 then x = -9 as it's the root of the fuction.

same thing here: x - 7 = 0 then x = 7

can you please help me

Answers

Apply the rule x^m/n = nsqrt(x^m)

(2) ^x/12 = 12sqrt(2^x)

The answer is the 3rd choice

Select the equation that could represent the relationship between f(x) and g(x).

Answers

Answer:

C

Step-by-step explanation:

First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.

Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.

Thus, f(x) = -2 g(x)


Please answer this question now

Answers

Answer:

7.8

Step-by-step explanation:

To do this problem you need to know Pythagorean Theorem which is also known as [tex]a^{2} +b^{2} =c^{2}[/tex].

In this problem 6 would be a, 5 would be b, and d would be c. So to do this we would do 5 squared (which is 25)+ 6 squared which is 36) and you would get 61 and when you do that you will just take the square root of that which is 7.81 and round it to the nearest tenth which is 7.8 and that would be the final answer

What the answer fast now

Answers

Answer:

TW = 3.2 yd

Step-by-step explanation:

In the picture attached,

Triangle TWV has been given with angle W = 90°

By applying Sine rule in the given right triangle,

Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)

SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]

Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]

TW = 6.Sin(32)°

TW = 3.1795

TW = 3.2 yd

Therefore, measure of the side TW = 3.2 yd.

ILL GIVE BRAINLIEST PLS HELP
A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?

Answers

Answer:

1/5

Step-by-step explanation:

The stick has a length of 5 units

The stick is broken at two points chosen at random

First break: the probability that you get a piece that is 1 unit or longer than 1 units= 1/5.

Second break, the probability that you get a piece that is 1 unit or longer than 1 units is 1/5.

Therefore,

The total probability =probability of first break * probability of second break * original stick unit

=1/5 * 1/5 * 5

= 1/25 *5

=5/25

=1/5

I don't understand the British system of colonization​

Answers

Answer:

Which of the following numbers is a composite number that is divisible by 3? A. 49 B. 103 C. 163 D. 261 Answer: B) 245

Step-by-step explanation:

Plane A is descending toward the local airport, and plane B is ascending from the same airport. Plane A is descending at a rate of 2,500 feet per minute. Plane B is ascending at a rate of 4,000 feet per minute. If plane A is currently at an altitude of 14,000 feet and plane B is at an altitude of 1,000 feet, how long will it take them to be at the same altitude? The equation representing plane A’s descent is y = -2,500x + 14,000. The equation representing plane B’s ascent is y = 4,000x + 1,000. In both equations, y represents altitude and x represents time in minutes.

Answers

Answer: 2 minutes

Step-by-step explanation:

Given the following :

Plane A's descent :

y = -2,500x + 14,000

Plane B's Ascent :

y = 4,000x + 1,000

where y = altitude x = minute

Time to be at the same altitude :

Being at the same altitude means ;

Plane A's descent = Plane B's Ascent

-2,500x + 14,000 = 4,000x + 1,000

-2500x - 4000x = 1000 - 14000

-6500x = - 13000

x = 13000 / 6500

x = 2

x = 2minutes.

Do you know the adjustments for the graph to show the intersecting lines.

I don’t know how to answer this?

Answers

Answer: a bigger or equal to 20

Explanation:

2a/5 - 2 _> a/4 + 1

8a/20 - 40/20 _> 5a/20 + 20/20

8a - 40 _> 5a + 20

3a _> 60

a _> 20

Answer:

SOLUTION SET ={a/a≥20}

Step-by-step explanation:

[tex]\frac{2a}{5}-2\geq\frac{a}{4}+1[/tex]

[tex]adding 2 on both sides[/tex]

[tex]\frac{2a}{5}-2+2\geq \frac{a}{4}+1+2[/tex]

[tex]now subtracting \frac{a}{4} on both sides[/tex]

[tex]\frac{2a}{5}-\frac{a}{4}\geq 3[/tex]

[tex]takig LCM as 20\\\frac{8a}{20}-\frac{5a}{20}\geq 3[/tex]

[tex]\frac{3a}{20}\geq 3[/tex]

[tex]by cross-multiplication[/tex]

3a≥3×20

3a≥60

dividing 3 on both sides

3a/3≥60/3

a≥20

SOLUTION SET ={a/a≥20} is the answer

i hope this will help you :)

-2x(x+3)-(x+1)(x-2) please help me solve this

Answers

Answer:

u have to multiply these.

it's too easy .

see I will tell you the answer.

-2x²-6x-(x²-2x+x-2)

Now the signs of the underlined terms will change because negative sign is outside it.

-2x²-6x-x²+ 2x-x + 2

Now we have to solve it simply

-2x²-x²-6x+ 2x-x + 2

-3x²-5x+2

so here is ur answer.

for Indians it is soo simple question bro

I am Indian

if u need any help plz let me know.

Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)

Answers

Answer:

20>4

Step-by-step explanation:

12-3 forget about the x 12-3=9 . 9+11=20

(17-9)=8 . 8-4 =4

so your answer is correct

Answer:Subtract 3x from 12x

9 x + 11 > 4 x − ( 17 − 9 x )

 

Simplify  4 x − ( 17 − 9 x ) .

9 x + 11 > 13 x − 17

Move all terms containing  x  to the left side of the inequality.

−4 x + 11 > − 17

Move all terms not containing  x  to the right side of the inequality.

− 4 x > − 28

Divide each term by  − 4  and simplify

x < 7

Interval Notation:

( − ∞ , 7 )

Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5% compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal? 1. a simple interest rate of 3% 2. a compound interest rate of 2.5%

Answers

Answer:

The bank offering simple interest at rate of 3% for four years

Step-by-step explanation:

Hello,

To find out which deal would be better, we have to find how much accrued on the simple and compound interest.

Data;

Principal (P) = $7,000

Time = 4 years

Simple interest rate = 3%

S.I = PRT / 100

S.I = (7000 × 3 × 4) / 100

S.I = $840

In four years, he would have $7000 + $840 = $7840.

For compound interest,

C.I = P(1 + r/n)^nt

Where n = number of time compounded = 1 (since it's annually)

rate = 2.5% = 2.5/ 100 = 0.025

C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾

C.I = 7000 (1 + 0.025)⁴

C.I = 7000×(1.025)⁴

C.I = 7000 × 1.1038

C.I = $7726.6

In four years he would have $7,726.6

After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years

Solve for x in the diagram below.

Answers

Answer:

x=20

Step-by-step explanation:

3x + 2x + 80=180

5x+80=180

5x=100

x=20

Answer:

x = 20 degrees

Step-by-step explanation:

For this problem, it is important to know that the measure of a line is 180 degrees.  With this in mind, let's build an equation:

3x + 80 + 2x = 180

Now that we have this equation, let's solve for x.

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

Hence, x is 20 degrees.

Cheers.

A medical equipment industry manufactures X-ray machines. The unit cost (the cost in dollars to make each X-ray machine) depends on the number of machines made. If machines are made, then the unit cost is given by the function . What is the minimum unit cost?Do not round your answer.

Answers

Answer:

$14,362

Step-by-step explanation:

The computation of the minimum unit cost is shown below:

Given that

0.6x^2 - 108x + 19,222

And as we know that the quadratic equation form is

ax^2 + bx + c

where

a = 0.6

b = -108

c = 19,222

Now for determining the minimal cost we applied the following formula which is

[tex]= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}[/tex]

= 90

Now put these values to the above equation

[tex]= 0.6\times 90^{2} - 108 \times 90 + 19,222[/tex]

= 14,362

The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and across the x-axis to obtain point N. What are the coordinates of points M and N? M(2, 4), N(−2, −4) M(2, −4), N(−2, 4) M(−2, −4), N(2, 4) M(−2, 4), N(2, −4)

Answers

Answer:

M(2, −4), N(−2, 4)

Step-by-step explanation:

Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation  and dilation.

Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).

The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).

if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).

Answer: M(2, −4), N(−2, 4) So D can i get branliest

Step-by-step explanation:

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